With geometry ! will mark brainliest

1. The segment LO bisects one of the angles of the triangle shown in the figure attached, and divide the segment NM in two segments: NO and OM. Therefore, you must apply the Triangle Angle Bisector Theorem, which is shown below:

 LN/LM=NO/OM

 LN=10
 LM=18
 NO=4
 OM=x (The value you want to find)

 2. When you substitute this values in LN/LM=NO/OM, you have:

 10/18=4/x
 10x=(18)(4)
 x=(18)(4)/10
 x=72/10

 3. Finally, you obtain:

 x=7.2

 The answer is: The value of "x" is 7.2